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A number of quadratic constraints are derived for an uncertain real parameter which is slowly time-varying and periodically resetting. A finite-horizon version of the swapping lemma and a finite dimensional condition for computing the norm of related time-varying finite-horizon systems are derived.
The paper considers stability analysis of linear time-periodic (LTP) systems based on the dynamic phasor model (DPM). The DPM exploits the periodicity of the system by expanding the system state in a Fourier series over a moving time window. This results in an L2-equivalent representation in terms of an infinite-dimensional LTI system which describes the evolution of time varying Fourier coefficients...
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